Higgs boson in the Brans-Dicke theory and the de sitter universe

Lee, Sunnyeo; Sim, Jonghyun; Lee, Tae Hoon

doi:10.3938/jkps.64.611

Cited by 10 publications

(12 citation statements)

References 11 publications

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“…In particular, for p → ∞ we recover the EoS of the vacuum energy w = −1. We may easily confirm from the first scaling relation in (17) that fort p > 1 we are in a phase of positive acceleration:…”

Section: A Equations Of Motionmentioning

confidence: 68%

“…for appropriate values of the parameters µ 2 (with dimension of mass squared) and λ (the dimensionless quartic coupling). These values are determined here by the coefficients of the extended BD-action (6) and by the form of the scaling solution (17). This is tantamount to saying that the Higgs form of the potential is consistent, in our BD-framework, with the solutions that describe the basic epochs of the cosmic expansion.…”

Section: B Determination Of the Higgs Potentialmentioning

confidence: 94%

“…Eqs. ( 23) and ( 24), under the consistency conditions ( 25) and ( 26) together with the scaling laws (17), we obtain the following form for the effective potential:…”

Section: B Determination Of the Higgs Potentialmentioning

confidence: 98%

“…Inserting also equations (17) into the second field equation (15) we find an expression for the derivative of the potential, dV /dφ = f (t), in which the function f (t) is known. This expression can be integrated as V = f (t) φdt = α (φ 1 /t 1 ) f (t) (t/t 1 ) α−1 dt after using once more (17). For simplicity we set the integration constant to zero (we shall discuss the CC problem later on).…”

Section: A Equations Of Motionmentioning

confidence: 99%

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Higgs potential from extended Brans–Dicke theory and the time-evolution of the fundamental constants

Solà

Karimkhani

Khodam-Mohammadi

2016

Class. Quantum Grav.

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Despite the enormous significance of the Higgs potential in the context of the Standard Model of electroweak interactions and in Grand Unified Theories, its ultimate origin is fundamentally unknown and must be introduced by hand in accordance with the underlying gauge symmetry and the requirement of renormalizability. Here we propose a more physical motivation for the structure of the Higgs potential, which we derive from a generalized Brans-Dicke (BD) theory containing two interacting scalar fields. One of these fields is coupled to curvature as in the BD formulation, whereas the other is coupled to gravity both derivatively and non-derivatively through the curvature scalar and the Ricci tensor. By requiring that the cosmological solutions of the model are consistent with observations, we show that the effective scalar field potential adopts the Higgs potential form with a mildly time-evolving vacuum expectation value. This residual vacuum dynamics could be responsible for the possible time variation of the fundamental constants, and is reminiscent of former Bjorken's ideas on the cosmological constant problem.Here, in our search for alternative frameworks that could explain the origin of the Higgs sector, we consider the theoretical possibility that the very structure of the Higgs potential is dictated by a real feedback between the particle physics world and the gravitational interactions. Through this "communicative ansatz" we try to find a possible, more physical, explanation for the origin of the Higgs potential that is minimally satisfactory in the two large domains (Particle Physics and General Relativity/Cosmology) which have traditionally remained isolated from one another. Specifically, in this work we explore an extend Jordan-Fierz-Brans-Dicke ("BD" for short) type of gravitational theory [25,26], in which apart from including the usual non-minimal scalar-tensor interaction [27] for the BD-field, ψ, we introduce an interaction term between ψ and a second scalar, φ, which will play the role of Higgs boson after we determine self-consistently the form of its effective potential.Remarkably, this is possible if φ interacts non-minimally with curvature and if its kinetic term interacts with the Ricci tensor, thereby through a derivative interaction with gravity [28,29]. We do not address here higher order gravitational theories, as in our case we limit ourselves to generalized forms of Einstein's gravity involving only the first power of the Ricci tensor and scalar, but we extend our study to the case of Grand Unified Theories (GUT's), where more than one type of Higgs field is involved.The kind of cosmological solutions that we search for in order to fix self-consistently the Higgs potential are the simplest possible ones, namely the power-law solutions of the cosmological equations in a Friedmann-Lemaître-Robertson-Walker (FLRW) background.These scaling solutions are interpreted as representing asymptotic states of the different phases of the cosmic evolution [30][31][32][33][34][35][36][37][38][39]. The...

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Section: A Equations Of Motionmentioning

confidence: 68%

Section: B Determination Of the Higgs Potentialmentioning

confidence: 94%

“…Eqs. ( 23) and ( 24), under the consistency conditions ( 25) and ( 26) together with the scaling laws (17), we obtain the following form for the effective potential:…”

Section: B Determination Of the Higgs Potentialmentioning

confidence: 98%

Section: A Equations Of Motionmentioning

confidence: 99%

See 2 more Smart Citations

Higgs potential from extended Brans–Dicke theory and the time-evolution of the fundamental constants

Solà

Karimkhani

Khodam-Mohammadi

2016

Class. Quantum Grav.

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“…In the standard model of particle physics Higgs-like fields have been studied to explain the primordial [17] and the late-time acceleration of the Universe [18], and extended Higgs models containing the Einstein tensor coupled, kinetic energy term have been examined in [19][20][21]. Scalara e-mail: ssujhsim@gmail.com tensor theories have been also studied to explain the latetime acceleration of the Universe [22,23].…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of Brans–Dicke universe with inverse power-law effective potential

2020

Self Cite

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We study Brans-Dicke cosmology with an inverse power-law effective potential. By using dynamical analyses, we search for fixed points corresponding to the radiationlike matter and dark energy-dominated era of our Universe, and the stability of fixed points is also investigated. We find phase space trajectories which are attracted to the stable point of the dark energy-dominated era from unstable fixed points like matter-dominated era of the Universe. The dark energy comes from effective potentials of the Brans-Dicke field, whose variation (related to the time-variation of the gravitational coupling constant) is shown to be in good agreement with observational data.

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A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space–time

Munoz-Pérez

Macías‐Díaz

Guerrero

2020

Applied Mathematics Letters

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Higgs boson in the Brans-Dicke theory and the de sitter universe

Cited by 10 publications

References 11 publications

Higgs potential from extended Brans–Dicke theory and the time-evolution of the fundamental constants

Higgs potential from extended Brans–Dicke theory and the time-evolution of the fundamental constants

Dynamical analysis of Brans–Dicke universe with inverse power-law effective potential

A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space–time

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